42407668002816
42,407,668,002,816 is an even composite number composed of six prime numbers multiplied together.
42407668002816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 42407668002816:
212 × 32 × 17 × 19 × 1277 × 2789
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 19 × 1277 × 2789)See below for interesting mathematical facts about the number 42407668002816 from the Numbermatics database.
Names of 42407668002816
- Cardinal: 42407668002816 can be written as Forty-two trillion, four hundred seven billion, six hundred sixty-eight million, two thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 4.2407668002816 × 1013
Factors of 42407668002816
Divisors of 42407668002816
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 57 64 68 72 76 96 102 114 128 136 144 152 153 171 192 204 228 256 272 288 304 306 323 342 384 408 456 512 544 576 608 612 646 684 768 816 912 969 1024 1088 1152 1216 1224 1277 1292 1368 1536 1632 1824 1938 2048 2176 2304 2432 2448 2554 2584 2736 2789 2907 3072 3264 3648 3831 3876 4096 4352 4608 4864 4896 5108 5168 5472 5578 5814 6144 6528 7296 7662 7752 8367 8704 9216 9728 9792 10216 10336 10944 11156 11493 11628 12288 13056 14592 15324 15504 16734 17408 18432 19456 19584 20432 20672 21709 21888 22312 22986 23256 24263 25101 26112 29184 30648 31008 33468 34816 36864 38912 39168 40864 41344 43418 43776 44624 45972 46512 47413 48526 50202 52224 52991 58368 61296 62016 65127 66936 69632 72789 77824 78336 81728 82688 86836 87552 89248 91944 93024 94826 97052 100404 104448 105982 116736 122592 124032 130254 133872 142239 145578 156672 158973 163456 165376 173672 175104 178496 183888 186048 189652 194104 195381 200808 208896 211964 218367 233472 245184 248064 260508 267744 284478 291156 313344 317946 326912 330752 347344 350208 356992 367776 372096 379304 388208 390762 401616 412471 423928 426717 436734 476919 490368 496128 521016 535488 568956 582312 626688 635892 653824 661504 694688 700416 713984 735552 744192 758608 776416 781524 803232 824942 847856 853434 873468 900847 953838 980736 992256 1042032 1070976 1137912 1164624 1237413 1271784 1307648 1323008 1389376 1427968 1471104 1488384 1517216 1552832 1563048 1606464 1649884 1695712 1706868 1746936 1801694 1907676 1961472 1984512 2084064 2141952 2275824 2329248 2474826 2543568 2615296 2702541 2778752 2855936 2942208 2976768 3034432 3105664 3126096 3212928 3299768 3391424 3413736 3493872 3561553 3603388 3712239 3815352 3922944 3969024 4168128 4283904 4551648 4658496 4949652 5087136 5230592 5405082 5557504 5711872 5884416 5953536 6068864 6211328 6252192 6425856 6599536 6782848 6827472 6987744 7123106 7206776 7424478 7630704 7845888 8107623 8336256 8567808 9103296 9316992 9899304 10174272 10684659 10810164 11115008 11423744 11768832 11907072 12137728 12422656 12504384 12851712 13199072 13565696 13654944 13975488 14246212 14413552 14848956 15261408 15691776 16215246 16672512 17135616 18206592 18633984 19798608 20348544 21369318 21620328 22230016 23537664 24275456 24845312 25008768 25703424 26398144 27131392 27309888 27950976 28492424 28827104 29697912 30522816 32053977 32430492 33345024 34271232 36413184 37267968 39597216 40697088 42738636 43240656 44460032 47075328 48550912 49690624 50017536 51406848 52796288 54262784 54619776 55901952 56984848 57654208 59395824 60546401 61045632 64107954 64860984 66690048 67669507 72826368 74535936 79194432 81394176 85477272 86481312 88920064 97101824 99381248 100035072 102813696 105592576 108525568 109239552 111803904 113969696 115308416 118791648 121092802 122091264 128215908 129721968 133380096 135339014 145652736 149071872 158388864 162788352 170954544 172962624 181639203 194203648 200070144 203008521 211185152 217051136 218479104 223607808 227939392 230616832 237583296 242185604 244182528 256431816 259443936 266760192 270678028 291305472 298143744 316777728 325576704 341909088 345925248 363278406 400140288 406017042 422370304 436958208 447215616 455878784 461233664 475166592 484371208 488365056 512863632 518887872 541356056 544917609 582610944 609025563 633555456 651153408 683818176 691850496 726556812 800280576 812034084 844740608 873916416 894431232 911757568 922467328 950333184 968742416 976730112 1025727264 1037775744 1082712112 1089835218 1150381619 1218051126 1267110912 1367636352 1383700992 1453113624 1624068168 1689481216 1747832832 1823515136 1844934656 1900666368 1937484832 1953460224 2051454528 2075551488 2165424224 2179670436 2300763238 2436102252 2534221824 2735272704 2767401984 2906227248 3248136336 3451144857 3647030272 3689869312 3801332736 3874969664 4102909056 4151102976 4330848448 4359340872 4601526476 4872204504 5068443648 5470545408 5534803968 5812454496 6496272672 6902289714 7294060544 7602665472 7749939328 8205818112 8302205952 8661696896 8718681744 9203052952 9744409008 10353434571 10941090816 11069607936 11624908992 12992545344 13804579428 14588121088 15205330944 15499878656 16411636224 16604411904 17323393792 17437363488 18406105904 19488818016 20706869142 21882181632 23249817984 25985090688 27609158856 30999757312 32823272448 33208823808 34646787584 34874726976 36812211808 38977636032 41413738284 43764363264 46499635968 51970181376 55218317712 61999514624 65646544896 69293575168 69749453952 73624423616 77955272064 82827476568 92999271936 103940362752 110436635424 123999029248 131293089792 138587150336 139498907904 147248847232 155910544128 165654953136 185998543872 207880725504 220873270848 247998058496 277174300672 278997815808 294497694464 311821088256 331309906272 371997087744 415761451008 441746541696 557995631616 588995388928 623642176512 662619812544 743994175488 831522902016 883493083392 1115991263232 1177990777856 1247284353024 1325239625088 1766986166784 2231982526464 2355981555712 2494568706048 2650479250176 3533972333568 4711963111424 5300958500352 7067944667136 10601917000704 14135889334272 21203834001408 42407668002816
- Sum of all divisors σ(n): 136684049205600
- Sum of proper divisors (its aliquot sum) s(n): 94276381202784
- 42407668002816 is an abundant number, because the sum of its proper divisors (94276381202784) is greater than itself. Its abundance is 51868713199968
Bases of 42407668002816
- Binary: 10011010010001110011011111110010110000000000002
- Hexadecimal: 0x2691CDFCB000
- Base-36: F15TALFK0
Squares and roots of 42407668002816
- 42407668002816 squared (424076680028162) is 1798410305437063986183929856
- 42407668002816 cubed (424076680028163) is 76266387165817927840955456453629754474496
-
The
square root of 42407668002816 is 6512117.0139069215 -
The
cube root of 42407668002816 is 34872.3699843925
Scales and comparisons
How big is 42407668002816?- 42,407,668,002,816 seconds is equal to 1,348,432 years, 34 weeks, 4 days, 18 hours, 33 minutes, 36 seconds.
-
To count from 1 to 42,407,668,002,816 would take you about three million, three hundred seventy-one thousand and eighty-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 42407668002816 cubic inches would be around 2906 feet tall.
Recreational maths with 42407668002816
- 42407668002816 backwards is 61820086670424
- The number of decimal digits it has is: 14
- The sum of 42407668002816's digits is 54
- More coming soon!
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